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研究所、轉學考(插大)-微積分
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101年 - 101 國立臺北大學學士班暨進修學士班轉學生招生考試試題_資訊工程學系二年級：微積分#116814
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題組內容
2. Find the following definite or indefinite integrals: (35%) (each is 7%)
iii.∫2x tan
-1
xdx
其他申論題
v.
#499129
vi.
#499130
i.∫ (Inx)2dx
#499131
ii.∫ sec xdx
#499132
iv.If f(x,y) = xy,evaluatewhere D is the regionbounded by the line y=x-1 and the parabola y2=2x+6.
#499134
v.
#499135
3. (7%) Find the value of p for which the integral converges..
#499136
4. (8%)Find the directions in which the directional derivative of f(x,y)= ye-xy at the point (0,2) has the value 1.
#499137
5. (8%) What is the maximum error possible in using the approximation x3 x sinx when -0.5≤x≤0.5.
#499138
1. (8%)
#499139
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